The Wind Mountain n was home to an ancient culture of prehistoric Native America

Question

The Wind Mountain n was home to an ancient culture of prehistoric Native Americans called Anasazi. 1. A random sample of excavations at Wind Mountain gave the taarchalgcal site is located in southwestern New Mexico. Wind Moun- timete ers) from present-day surface grade to the location of significant archaeological artifacts (Source : Mimbres Mogollon Archseology, by A. Woosley and A. Mclntyre, University of New Mexico Press). 85 45 120 80 75 55 65 60 65 95 90 70 75 65 68 (a) Using a caleulator, find and s (b) Compute a 95% confidence interval for the mean depth ? at which archa,olog artifacts from the Wind Mountain excavation site can be found. Hint: use & T distribution. 2. Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site (see table from question (1)). At one excavation, a sample of 167 potsherds indicated that 68 were of the three- circle, red-on-white pattern. (a) Find a point estimate p or the proportion of all ceranic potsherds at this site that 2 are of the three-circle, red-on-white pattern.

Explanation / Answer

Solution

1. (a) sample mean = (85+.............+68)/15 = 1113/15 = 74.2

standard deviation, s = (1/14((85-74.2)2+.......+(68-74.2)2)0.5 = 18.253

b. 95% confidence interval = ( 74.2 +- 2.145 (18.253/150.5)) = (64.09,83.3111)

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